TSTP Solution File: ALG377-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG377-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:07:32 EDT 2023
% Result : Unsatisfiable 0.19s 0.71s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 62
% Syntax : Number of formulae : 68 ( 8 unt; 58 typ; 0 def)
% Number of atoms : 12 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 70 ( 53 >; 17 *; 0 +; 0 <<)
% Number of predicates : 41 ( 39 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_23,type,
tc_nat: $i ).
tff(decl_24,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_25,type,
tc_RealDef_Oreal: $i ).
tff(decl_26,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_28,type,
c_Suc: $i > $i ).
tff(decl_29,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_31,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_32,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_33,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_36,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_38,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_39,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_40,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_41,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_42,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_43,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_44,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_45,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_46,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_48,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_49,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_51,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_53,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_55,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_56,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_57,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_60,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_61,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_62,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_63,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_64,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_65,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_66,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_67,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_68,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_69,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_70,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_71,type,
v_N1____: $i ).
tff(decl_72,type,
v_N2____: $i ).
tff(decl_73,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_74,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_75,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_76,type,
v_f____: $i > $i ).
tff(decl_77,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_79,type,
v_s____: $i ).
cnf(cls_CHAINED_0,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_add__Suc__right_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_real__add__left__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__left__mono_0) ).
cnf(c_0_4,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_5,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
cls_add__Suc__right_0 ).
cnf(c_0_6,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_7,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
cls_real__add__left__mono_0 ).
cnf(c_0_8,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_HOL_Oplus__class_Oplus(v_N1____,c_Suc(v_N2____),tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_5]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG377-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 03:23:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.71 % Version : CSE_E---1.5
% 0.19/0.71 % Problem : theBenchmark.p
% 0.19/0.71 % Proof found
% 0.19/0.71 % SZS status Theorem for theBenchmark.p
% 0.19/0.71 % SZS output start Proof
% See solution above
% 0.19/0.72 % Total time : 0.131000 s
% 0.19/0.72 % SZS output end Proof
% 0.19/0.72 % Total time : 0.147000 s
%------------------------------------------------------------------------------